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Finding the Fourth Proportional to 23,614.07, 35,424.92 and 6,975.77

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Solution

The fourth proportional to 23,614.07, 35,424.92 and 6,975.77 is: 10,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.07 : 35,424.92 = 6,975.77 : x
  2. Step 2: Convert to fraction form
    23,614.07/35,424.92 = 6,975.77/x
  3. Step 3: Cross multiply
    23,614.07x = 35,424.92 × 6,975.77
  4. Step 4: Simplify right side
    23,614.07x = 247,115,934.50
  5. Step 5: Solve for x
    x = 247,115,934.50/23,614.07
  6. Step 6: Final answer
    x = 10,464.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.